We have reported the transport coefficients of the extremal Kerr black hole are divergent functions in the radial direction. This result for "internal" degrees of freedom of the BH horizon seems to be in contradiction with the early obtained claims on the regularity of external, w.r.t. the horizon, matter fields for static/stationary solutions of the Einstein equations (see [1]}, [2]} and early papers [3]}, [4]}, [5]}). However, we have to note that the obtained here results are referred to the Boyer-Lindquist parametrization of the Kerr metric. To avoid truly unphysical singularities one needs to use the Eddington-Finkelstein parametrization, which is beyond the scope of the paper and the study of which we postpone for future investigations.
